Problem: The Olympic Games in Bercouver are in full swing now. Here everyone has their own objectives: sportsmen compete for medals, and sport commentators compete for more convenient positions to give a running commentary. Today the main sport events take place at three round stadiums, and the commentator's objective is to choose the best point of observation, that is to say the point from where all the three stadiums can be observed. As all the sport competitions are of the same importance, the stadiums should be observed at the same angle. If the number of points meeting the conditions is more than one, the point with the maximum angle of observation is prefered. 

Would you, please, help the famous Berland commentator G. Berniev to find the best point of observation. It should be noted, that the stadiums do not hide each other, the commentator can easily see one stadium through the other.

Input

The input data consists of three lines, each of them describes the position of one stadium. The lines have the format x, y, r, where (x, y) are the coordinates of the stadium's center ( - 103 ≤ x, y ≤ 103), and r (1 ≤ r ≤ 103) is its radius. All the numbers in the input data are integer, stadiums do not have common points, and their centers are not on the same line. 

Output

Print the coordinates of the required point with five digits after the decimal point. If there is no answer meeting the conditions, the program shouldn't print anything. The output data should be left blank.

Examples

Input

0 0 10
60 0 10
30 30 10


Output

30.00000 0.00000

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const int mod = 1e9 + 7;
const int N = 1e6 + 10;
const long long INF = 1e18;
const long double EPS = 1e-12;
struct Point {
  long double x, y;
  Point() {}
  Point(long double x, long double y) : x(x), y(y) {}
  Point(const Point &p) : x(p.x), y(p.y) {}
  Point operator+(const Point &p) const { return Point(x + p.x, y + p.y); }
  Point operator-(const Point &p) const { return Point(x - p.x, y - p.y); }
  Point operator*(long double c) const { return Point(x * c, y * c); }
  Point operator/(long double c) const { return Point(x / c, y / c); }
};
long double dot(Point p, Point q) { return p.x * q.x + p.y * q.y; }
long double dist2(Point p, Point q) { return dot(p - q, p - q); }
long double cross(Point p, Point q) { return p.x * q.y - p.y * q.x; }
ostream &operator<<(ostream &os, const Point &p) {
  os << "(" << p.x << "," << p.y << ")";
}
bool operator<(const Point &a, const Point &b) {
  return make_pair(a.x, a.y) < make_pair(b.x, b.y);
}
bool operator==(const Point &a, const Point &b) {
  return abs(a.x - b.x) < EPS && abs(a.y - b.y) < EPS;
}
Point RotateCCW90(Point p) { return Point(-p.y, p.x); }
Point RotateCW90(Point p) { return Point(p.y, -p.x); }
Point RotateCCW(Point p, long double t) {
  return Point(p.x * cos(t) - p.y * sin(t), p.x * sin(t) + p.y * cos(t));
}
Point ProjectPointLine(Point a, Point b, Point c) {
  return a + (b - a) * dot(c - a, b - a) / dot(b - a, b - a);
}
Point ProjectPointSegment(Point a, Point b, Point c) {
  long double r = dot(b - a, b - a);
  if (fabs(r) < EPS) return a;
  r = dot(c - a, b - a) / r;
  if (r < 0) return a;
  if (r > 1) return b;
  return a + (b - a) * r;
}
pair<Point, Point> Perpendicularline(Point a, Point b, Point c) {
  c = ProjectPointLine(a, b, c);
  if (a == c) a = b;
  return make_pair(c, c + RotateCW90(a - c));
}
long double DistancePointSegment(Point a, Point b, Point c) {
  return sqrt(dist2(c, ProjectPointSegment(a, b, c)));
}
long double DistancePointPlane(long double x, long double y, long double z,
                               long double a, long double b, long double c,
                               long double d) {
  return fabs(a * x + b * y + c * z - d) / sqrt(a * a + b * b + c * c);
}
bool LinesParallel(Point a, Point b, Point c, Point d) {
  return fabs(cross(b - a, c - d)) < EPS;
}
bool LinesCollinear(Point a, Point b, Point c, Point d) {
  return LinesParallel(a, b, c, d) && fabs(cross(a - b, a - c)) < EPS &&
         fabs(cross(c - d, c - a)) < EPS;
}
bool SegmentsIntersect(Point a, Point b, Point c, Point d) {
  if (LinesCollinear(a, b, c, d)) {
    if (dist2(a, c) < EPS || dist2(a, d) < EPS || dist2(b, c) < EPS ||
        dist2(b, d) < EPS)
      return true;
    if (dot(c - a, c - b) > 0 && dot(d - a, d - b) > 0 && dot(c - b, d - b) > 0)
      return false;
    return true;
  }
  if (cross(d - a, b - a) * cross(c - a, b - a) > 0) return false;
  if (cross(a - c, d - c) * cross(b - c, d - c) > 0) return false;
  return true;
}
Point ComputeLineIntersection(Point a, Point b, Point c, Point d) {
  b = b - a;
  d = c - d;
  c = c - a;
  assert(dot(b, b) > EPS && dot(d, d) > EPS);
  return a + b * cross(c, d) / cross(b, d);
}
Point ComputeCircleCenter(Point a, Point b, Point c) {
  b = (a + b) / 2;
  c = (a + c) / 2;
  return ComputeLineIntersection(b, b + RotateCW90(a - b), c,
                                 c + RotateCW90(a - c));
}
bool PointInPolygon(const vector<Point> &p, Point q) {
  bool c = 0;
  for (int i = 0; i < p.size(); i++) {
    int j = (i + 1) % p.size();
    if ((p[i].y <= q.y && q.y < p[j].y || p[j].y <= q.y && q.y < p[i].y) &&
        q.x < p[i].x + (p[j].x - p[i].x) * (q.y - p[i].y) / (p[j].y - p[i].y))
      c = !c;
  }
  return c;
}
bool PointOnPolygon(const vector<Point> &p, Point q) {
  for (int i = 0; i < p.size(); i++)
    if (dist2(ProjectPointSegment(p[i], p[(i + 1) % p.size()], q), q) < EPS)
      return true;
  return false;
}
vector<Point> CircleLineIntersection(Point a, Point b, Point c, long double r) {
  vector<Point> ret;
  b = b - a;
  a = a - c;
  long double A = dot(b, b);
  long double B = dot(a, b);
  long double C = dot(a, a) - r * r;
  long double D = B * B - A * C;
  if (D < -EPS) return ret;
  ret.push_back(c + a + b * (-B + sqrt(D + EPS)) / A);
  if (D > EPS) ret.push_back(c + a + b * (-B - sqrt(D)) / A);
  return ret;
}
vector<Point> CircleCircleIntersection(Point a, Point b, long double r,
                                       long double R) {
  vector<Point> ret;
  long double d = sqrt(dist2(a, b));
  if (d > r + R || d + min(r, R) < max(r, R)) return ret;
  long double x = (d * d - R * R + r * r) / (2 * d);
  long double y = sqrt(r * r - x * x);
  Point v = (b - a) / d;
  ret.push_back(a + v * x + RotateCCW90(v) * y);
  if (y > 0) ret.push_back(a + v * x - RotateCCW90(v) * y);
  return ret;
}
long double ComputeSignedArea(const vector<Point> &p) {
  long double area = 0;
  for (int i = 0; i < p.size(); i++) {
    int j = (i + 1) % p.size();
    area += p[i].x * p[j].y - p[j].x * p[i].y;
  }
  return area / 2.0;
}
long double ComputeArea(const vector<Point> &p) {
  return fabs(ComputeSignedArea(p));
}
Point ComputeCentroid(const vector<Point> &p) {
  Point c(0, 0);
  long double scale = 6.0 * ComputeSignedArea(p);
  for (int i = 0; i < p.size(); i++) {
    int j = (i + 1) % p.size();
    c = c + (p[i] + p[j]) * (p[i].x * p[j].y - p[j].x * p[i].y);
  }
  return c / scale;
}
bool IsSimple(const vector<Point> &p) {
  for (int i = 0; i < p.size(); i++) {
    for (int k = i + 1; k < p.size(); k++) {
      int j = (i + 1) % p.size();
      int l = (k + 1) % p.size();
      if (i == l || j == k) continue;
      if (SegmentsIntersect(p[i], p[j], p[k], p[l])) return false;
    }
  }
  return true;
}
long double area2(Point a, Point b, Point c) { return cross(b - a, c - a); }
void ConvexHull(vector<Point> &pts) {
  sort(pts.begin(), pts.end());
  pts.erase(unique(pts.begin(), pts.end()), pts.end());
  vector<Point> up, dn;
  for (int i = 0; i < pts.size(); i++) {
    while (up.size() > 1 && area2(up[up.size() - 2], up.back(), pts[i]) >= 0)
      up.pop_back();
    while (dn.size() > 1 && area2(dn[dn.size() - 2], dn.back(), pts[i]) <= 0)
      dn.pop_back();
    up.push_back(pts[i]);
    dn.push_back(pts[i]);
  }
  pts = dn;
  for (int i = (int)up.size() - 2; i >= 1; i--) pts.push_back(up[i]);
}
bool in_convex(vector<Point> &l, Point p) {
  int a = 1, b = l.size() - 1, c;
  if (((l[a].x - l[0].x) * (l[b].y - l[0].y) -
       (l[a].y - l[0].y) * (l[b].x - l[0].x)) > 0)
    swap(a, b);
  if (((l[a].x - l[0].x) * (p.y - l[0].y) -
       (l[a].y - l[0].y) * (p.x - l[0].x)) >= 0 ||
      ((l[b].x - l[0].x) * (p.y - l[0].y) -
       (l[b].y - l[0].y) * (p.x - l[0].x)) <= 0)
    return false;
  while (abs(a - b) > 1) {
    c = (a + b) / 2;
    if (((l[c].x - l[0].x) * (p.y - l[0].y) -
         (l[c].y - l[0].y) * (p.x - l[0].x)) > 0)
      b = c;
    else
      a = c;
  }
  return ((l[b].x - l[a].x) * (p.y - l[a].y) -
          (l[b].y - l[a].y) * (p.x - l[a].x)) <= 0;
}
vector<pair<Point, Point> > find_tangent(Point a, Point b, long double r1,
                                         long double r2) {
  vector<pair<Point, Point> > Q;
  if (dist2(a, b) <= (r1 - r2) * (r1 - r2)) return Q;
  int f = 0;
  if (r2 > r1) swap(a, b), swap(r1, r2), f = 1;
  if (abs(r2 - r1) <= EPS) {
    pair<Point, Point> m = Perpendicularline(a, b, a),
                       n = Perpendicularline(a, b, b);
    vector<Point> l1 = CircleLineIntersection(m.first, m.second, a, r1),
                  l2 = CircleLineIntersection(n.first, n.second, b, r2);
    assert(l1.size() == 2 && l2.size() == 2);
    if (cross(b - a, l1[0] - b) * cross(b - a, l2[0] - b) < 0)
      swap(l2[0], l2[1]);
    Q.push_back(make_pair(l1[0], l2[0]));
    Q.push_back(make_pair(l1[1], l2[1]));
  } else {
    Point out = (b * r1 - a * r2) / (r1 - r2);
    assert(dist2(out, a) >= r1 && dist2(out, b) >= r2);
    vector<Point> l1 = CircleCircleIntersection(
                      a, out, r1, sqrt(dist2(out, a) - (r1) * (r1))),
                  l2 = CircleCircleIntersection(
                      b, out, r2, sqrt(dist2(out, b) - (r2) * (r2)));
    assert(l1.size() == 2 && l2.size() == 2);
    if (cross(b - a, l1[0] - b) * cross(b - a, l2[0] - b) < 0)
      swap(l2[0], l2[1]);
    Q.push_back(make_pair(l1[0], l2[0]));
    Q.push_back(make_pair(l1[1], l2[1]));
  }
  if (dist2(a, b) > (r1 + r2) * (r1 + r2) + EPS) {
    Point out = (b * r1 + a * r2) / (r1 + r2);
    assert(dist2(out, a) >= r1 && dist2(out, b) >= r2);
    vector<Point> l1 = CircleCircleIntersection(
                      a, out, r1, sqrt(dist2(out, a) - (r1) * (r1))),
                  l2 = CircleCircleIntersection(
                      b, out, r2, sqrt(dist2(out, b) - (r2) * (r2)));
    assert(l1.size() == 2 && l2.size() == 2);
    if (cross(b - a, l1[0] - b) * cross(b - a, l2[0] - b) > 0)
      swap(l2[0], l2[1]);
    Q.push_back(make_pair(l1[0], l2[0]));
    Q.push_back(make_pair(l1[1], l2[1]));
  } else if (abs((r1 + r2) * (r1 + r2) - dist2(a, b)) < EPS) {
    Point out = (b * r1 + a * r2) / (r1 + r2);
    Q.push_back(Perpendicularline(a, b, out));
  }
  if (f == 1) {
    for (int i = 0; i < Q.size(); ++i) swap(Q[i].first, Q[i].second);
  }
  return Q;
}
long double error = 1e-8;
Point rect;
vector<pair<Point, long double> > circ;
bool inpoly(vector<Point> &a, Point b) {
  int n = a.size();
  for (int i = 0; i < a.size(); ++i) {
    if (DistancePointSegment(a[i], a[(i + 1) % n], b) < error) return 1;
  }
  return in_convex(a, b);
}
bool outcircle(Point cen, long double rad, Point a) {
  if (dist2(cen, a) > rad * rad - error) return 1;
  return 0;
}
Point bottom;
bool cmp(Point a, Point b) {
  long double val = cross(a - bottom, b - a);
  if (fabs(val) < EPS) {
    return dist2(bottom, b) > dist2(bottom, a);
  }
  return val > EPS;
}
int myconvexhull(vector<Point> &pts) {
  sort(pts.begin(), pts.end());
  pts.resize(unique(pts.begin(), pts.end()) - pts.begin());
  bottom = pts[0];
  sort(pts.begin() + 1, pts.end(), cmp);
  vector<Point> hull;
  hull.clear();
  for (int i = 0; i < pts.size(); ++i) {
    while (hull.size() >= 2 &&
           cross(hull[hull.size() - 2] - hull[hull.size() - 1],
                 pts[i] - hull[hull.size() - 1]) >= -1 * EPS) {
      hull.pop_back();
    }
    hull.push_back(pts[i]);
  }
  pts.clear();
  for (int i = 0; i < hull.size(); ++i) {
    pts.push_back(hull[i]);
  }
  return 0;
}
pair<Point, long double> getlocus(Point a, Point b, long double r1,
                                  long double r2) {
  Point p, p1;
  p.x = r1 * b.x + r2 * a.x;
  p.x = p.x / (r1 + r2);
  p.y = r1 * b.y + r2 * a.y;
  p.y = p.y / (r1 + r2);
  if (r1 - r2 < EPS) {
    p1.x = r2 * a.x - r1 * b.x;
    p1.x = p1.x / (r2 - r1);
    p1.y = r2 * a.y - r1 * b.y;
    p1.y = p1.y / (r2 - r1);
  } else {
    p1.x = r1 * b.x - r2 * a.x;
    p1.x = p1.x / (r1 - r2);
    p1.y = r1 * b.y - r2 * a.y;
    p1.y = p1.y / (r1 - r2);
  }
  pair<Point, long double> v;
  long double val = sqrt(dist2(p, (p + p1) / 2));
  v.first = (p + p1) / 2;
  v.second = val;
  return v;
}
int main() {
  long double x, y, r[3], R2, R3;
  int fl1 = 0, fl2 = 0;
  Point c[3], P3, P2;
  pair<Point, Point> P, P1;
  vector<Point> v;
  for (int i = 0; i < 3; ++i) {
    cin >> x >> y >> r[i];
    c[i] = Point(x, y);
  }
  if (r[0] == r[1]) {
    fl1 = 1;
    P = Perpendicularline(c[0], c[1], (c[0] + c[1]) / 2);
  } else {
    fl1 = 2;
    P3 = getlocus(c[0], c[1], r[0], r[1]).first;
    R3 = getlocus(c[0], c[1], r[0], r[1]).second;
  }
  if (r[1] == r[2]) {
    fl2 = 1;
    P1 = Perpendicularline(c[2], c[1], (c[2] + c[1]) / 2);
  } else {
    fl2 = 2;
    P2 = getlocus(c[2], c[1], r[2], r[1]).first;
    R2 = getlocus(c[2], c[1], r[2], r[1]).second;
  }
  cout.precision(5);
  if (fl1 == 1 && fl2 == 1) {
    if (LinesParallel(P.first, P.second, P1.first, P1.second) == 0) {
      cout << fixed
           << ComputeLineIntersection(P.first, P.second, P1.first, P1.second).x
           << " "
           << ComputeLineIntersection(P.first, P.second, P1.first, P1.second).y
           << endl;
    } else {
      cout << " " << endl;
    }
  }
  if (fl1 == 1 && fl2 == 2) {
    v = CircleLineIntersection(P.first, P.second, P2, R2);
    if (v.size() == 0) {
      cout << " " << endl;
    }
    if (v.size() == 1) {
      cout << fixed << v[0].x << " " << v[0].y << endl;
    }
    if (v.size() == 2) {
      if (dist2(v[0], c[0]) - dist2(v[1], c[0]) < EPS) {
        cout << fixed << v[0].x << " " << v[0].y << endl;
      } else {
        cout << fixed << v[1].x << " " << v[1].y << endl;
      }
    }
  }
  if (fl1 == 2 && fl2 == 1) {
    v = CircleLineIntersection(P1.first, P1.second, P3, R3);
    if (v.size() == 0) {
      cout << " " << endl;
    }
    if (v.size() == 1) {
      cout << fixed << v[0].x << " " << v[0].y << endl;
    }
    if (v.size() == 2) {
      if (dist2(v[0], c[0]) - dist2(v[1], c[0]) < EPS) {
        cout << fixed << v[0].x << " " << v[0].y << endl;
      } else {
        cout << fixed << v[1].x << " " << v[1].y << endl;
      }
    }
  }
  if (fl1 == 2 && fl2 == 2) {
    v = CircleCircleIntersection(P3, P2, R3, R2);
    if (v.size() == 0) {
      cout << " " << endl;
    }
    if (v.size() == 1) {
      cout << fixed << v[0].x << " " << v[0].y << endl;
    }
    if (v.size() == 2) {
      if (dist2(v[0], c[0]) - dist2(v[1], c[0]) < EPS) {
        cout << fixed << v[0].x << " " << v[0].y << endl;
      } else {
        cout << fixed << v[1].x << " " << v[1].y << endl;
      }
    }
  }
}